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Table of Contents

Semester 1

Schedule

  • Greeting at door
  • Pre-Algebra
    • You Do - take seat and work on bell ringer worksheet (100 problems computation page, 5 min), record progress using colored pencils
    • We Do - review worksheet problems
    • I Do - 10 min Life Lesson and Lecture
    • You Do - work on Assignment
    • We Do - review - students show work on board
    • AMES placement test
    • Pre-Algebra Placement Test from Ruben - every Friday
  • Autodesk Inventor
Time 1st Period Time 2nd Period Topic
8:15 11:35 Role, Announcements, Pledge
8:30 12:00 GAINs Warm Up - Challenge
8:45 12:15 Essential Question
9:00 12:30 Pre-Algebra Lesson Video
9:15 12:45 Pop Tart Challenge
9:30 1:00 Packets
9:45 1:15 Packets
10:00 1:30 Life Lesson
10:15 1:45 Packets
10:30 2:00 Essential Question Review
10:55 2:15 End of Class

Textbook

  • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
  • Reference Notetaking Guide (Chapter 1 pdf)
    • 1.1 Expressions and Variables
    • 1.2 Powers and Exponents
    • 1.3 Order of Operations
    • 1.4 Comparing and Ordering Integers
    • 1.5 Adding Integers (pdf p. 29-33)
    • 1.6 Subtracting Integers (pdf p. 34-38)
    • 1.7 Multiplying and Dividing Integers (pdf p. 42-46)
    • 1.8 The Coordinate Plane

Packet 1 - Variables, Expressions, and Integers

Lesson 1.1 - Expressions and Variables

  • Objective: Evaluate and write variable expressions
  • Vocabulary:
    • Numerical expression (p. 5)
    • Variable (p. 5)
    • Variable expression (p. 5)
    • Evaluate (p. 5)
    • Verbal model (p. 6)
  • Essential Question: How do I evaluate and write variable expressions?
  • Guided Practice Problem
    • 4d is a variable expression and if we let d = 120, then to evaluate we substitute 120 for d, so 4*120 = 480 (see McDougal Littell Pre-Algebra, p. 5)
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.2 - Powers and Exponents

  • Objective: Use powers to describe repeated multiplication
  • Vocabulary:
    • power (p. 10)
    • base (p. 10)
    • exponent (p. 10)
  • Essential Question: How do I use powers to describe repeated multiplication?
  • Guided Practice Problem

$$5 \times 5 \times 5 = 5^3 = 125$$

  • remember a power has two parts the base and the exponent (number of times the base is used as a factor) (see McDougal Littell Pre-Algebra, p. 10)
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.3 - Order of Operations

  • Objective: Use order of operations to evaluate expressions
  • Vocabulary:
    • Order of operations (p. 16)
  • Essential Question: How do I use the order of operations to evaluate expressions?
  • Guided Practice Problem:
    • A Order of Operations 1) evaluate expressions inside grouping symbols () prealgebra1 {}, 2) Evaluate powers, 3) Multiply and divide from left to right, 4) add and subtract from left to right (see McDougal Littell Pre-Algebra, p. 16)

$$ 5 \times \left[36 - (13 + 9)\right] = 5 \times (36-22) = 5 \times 14 = 70$$

  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.4 - Comparing and Ordering Integers

  • Objective: Compare and order integers
  • Vocabulary:
    • integer (p. 22)
    • negative integer (p. 22)
    • positive integer (p. 22)
    • absolute value (p. 23)
    • opposite (p. 23)
  • Essential Question: How do I compare and order integers?
  • Guided Practice Problem:
    • Use a number line to order these integers from least to greatest: -8, 5, -4, 2, 0, 6
      • Answer: -8, -4, 0, 2, 5, 6
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.5 - Adding Integers

  • Objective: Add integers
  • Vocabulary:
    • Additive inverse (p. 30)
  • Essential Question: How do I add integers?
  • Guided Practice Problem:
    • -41 + 26 = -15
    • -19 + (-11) = -30
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.6 - Subtracting Integers

  • Objective: Subtract integers
  • Vocabulary:
    • Opposite (p. 23)
    • Difference (p. 771)
  • Essential Question: How do I subtract integers?
    • “When evaluating change, the order of subtraction is important. Remember the verbal model current value minus original value” (McDougal Littell Pre-Algebra by Larson, p. 34)
  • Guided Practice Problem:
    • 4 - 10 = 4 + (-10) = -6
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.7 - Multiplying and Dividing Integers

  • Objective: Multiply and divide integers
  • Vocabulary:
    • mean (p. 39)
  • Essential Question: How do I multiply and divide integers?
  • Guided Practice Problem:
    • the product or quotient of two integers with different signs is negative (see McDougal Littell Pre-Algebra, p. 42)

$$ -4 \times 2 = -8$$ $$ \frac{-4}{2} = -2$$

  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 1.8 - Coordinate Plane

  • Objective: Identify and plot points in a coordinate plane
  • Vocabulary:
    • coordinate plane (p. 47)
    • scatter plot (p. 48)
  • Essential Question: How do I identify and plot points in a coordinate plane?
  • Guided Practice Problem
    • ordered pair (x-coordinate, y-coordinate) (see McDougal Littell Pre-Algebra, p. 47)
    • Find (-3, -2) on a coordinate plane
  • Warm-Up
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Packet 2 - Solving Equations

Lesson 2.1 - Properties and Operations

  • Objective: Use properties of addition and multiplication
  • Vocabulary:
    • additive identity (p. 63)
    • multiplicative identity (p. 63)
  • Essential Question: How do I use properties of addition and multiplication
  • Guided Practice Problem
  • Additive Identity - the sum (+) of a number and 0 is the number
    • -6 + 0 = -6
    • a + 0 = a
  • Multiplicative Identity - the product (x) of a number and 1 is the number
    • 4 x 1 = 4
    • a * 1 = a
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.2 - The Distributive Property

  • Objective: Use the distributive property
  • Vocabulary:
    • equivalent numerical expressions (p. 71)
    • equivalent variable expressions (p. 72)
  • Essential Question: How do I use the distributive property
  • Guided Practice Problem
  • Distributive Property
    • a(b+c) = ab + ac
    • 4(6+3) = 4(6) + 4(3)
    • 3(x+7) = 3(x) + 3(7)
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.3 - Simplifying Variable Expressions

  • Figure 1-0 Combining Like Terms
  • Objective: Simplify variable expressions
  • Vocabulary:
    • term (p. 78)
    • coefficient (p. 78)
    • constant term (p. 78)
    • like terms (p. 78)
  • Essential Question: How do I simplify variable expressions
  • Guided Practice Problem
    • y + 8 - 5y - 3 → y + 8 + (-5y) + (-3)
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.4 - Variables and Equations

  • Objective: Solve equations with variables
  • Review: Phrases that indicate mathematical operations (McDougal Littell Pre-Algebra p. 6)
    • Equal: is
    • Addition: plus, the sum of, increased by, total, more than, added to
    • Subtraction: minus, the difference of, decreased by, fewer than, less than, subtracted from
    • Multiplication: times, the product of, multiplied by, of
    • Division: divided by, divided into, the quotient of
  • Vocabulary:
    • equation (p. 85)
    • solution of an equation (p. 85)
    • solving an equation (p. 86)
  • Essential Question: How do I solve equations with variables
  • Guided Practice Problem
    • Write the verbal sentence as an equation
      • The sum of x and 6 is 9
        • x + 6 = 9
      • x - 5 = 2
        • x = 5 + 2 = 7
  • Warm-Ups
  • Materials
  • Super Teacher Worksheets
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.5 - Solving Equations Using Addition or Subtraction

  • Objective: Solve equations using addition or subtraction
  • Vocabulary:
    • inverse operations (p. 91)
    • equivalent equations (p. 91)
  • Essential Question: How do I solve equations using addition or subtraction
  • Guided Practice Problem
    • If x + a = b, then x + a - a = b - a, or x = b - a
    • If x + 3 = 5, then x + 3 - 3 = 5 - 3, or x = 2
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 1 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.6 - Solving Equations Using Multiplication or Division

  • Objective: Solve equations using multiplication or division
  • Vocabulary:
    • solving an equation (p. 86)
    • inverse operations (p. 91)
    • equivalent equations (p. 91)
  • Essential Question: How do I solve equations using multiplication or division
  • Guided Practice Problem
    • If ax = b and a :ne 0, then ax/a = b/a, or x = b/a

$$ 3x = 12 \rightarrow \frac{3x}{3} = \frac{12}{3} \rightarrow x = 4$$

  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 2.7 - Decimal Operations and Equations with Decimals

  • Objective: Solve equations involving decimals
  • Vocabulary:
    • absolute value (p. 23)
    • solving an equation (p. 86)
    • decimal (p. 770)
  • Essential Question: How do I solve equations using decimals
  • Guided Practice Problem
    • find the sum -2.9 + (-6.5) = -9.4

$$ -2.9 + (-6.5) = -9.4$$

  • find the difference -25.38 - (-42.734) = -25.38 + 42.734 = 17.354
  • Warm-Ups
  • Materials
  • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
  • Reference Notetaking Guide (Chapter 2 pdf)
  • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. Students will read and write the essential question in their math notebook.
  6. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  7. Students will watch video on today's lesson
  8. Teacher will answer student questions from video
  9. REVIEW: Life Lesson - teacher and students discuss behaviors which lead to success
  10. INDEPENDENT PRACTICE: students will work on packet
  11. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  12. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Packet 3 - Multi-Step Equations and Inequalities

Lesson 3.1 - Solving Two-Step Equations

  • Objective: Solve two-step equations
  • Vocabulary:
    • verbal model (p. 6)
    • equation (p. 85)
    • inverse operations (p. 91)
  • Essential Question: How do I solve two-step equations
  • Guided Practice Problem
    • If 3x + 7 = -5
  • Warm-Ups
  • Materials
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 3.2 - Solving Equations Having Like Terms and Parentheses

  • Objective: Solve equations using the distributive property
  • Vocabulary:
    • like terms (p. 78)
  • Essential Question: How do I solve equations using the distributive property?
  • Guided Practice Problem
    • -3(8-4x)=12
  • Warm-Ups
  • Materials
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 3.3 - Solving Equations with Variables on Both Sides

  • Objective: Solve equations with variables on both sides
  • Vocabulary:
    • equation (p. 85)
    • solution of an equation (p. 85)
    • inverse operations (p. 91)
  • Essential Question: How do I solve equations with variables on both sides?
  • Guided Practice Problem
    • 7n-5=10n+13
  • Warm-Ups
  • Materials
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 3.4 - Solving Inequalities Using Addition or Subtraction

  • Objective: Solving Inequalities Using Addition or Subtraction
  • Vocabulary:
    • verbal model (p. 6)
    • equation (p. 85)
    • inverse operations (p. 91)
  • Essential Question: How do I solve inequalities using addition or subtraction?
  • Guided Practice Problem

$$ m + 5 \ge 10$$

  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 3.5 - Solving Inequalities Using Multiplication or Division

  • Objective: Solving Inequalities Using Multiplication or Division
  • Vocabulary:
    • inequality (p. 138)
    • equivalent inequalities (p. 139)
  • Essential Question: How do I solve inequalities using multiplication or division?
  • Guided Practice Problem

$$ -10t \ge 34$$

  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 3.6 - Solving Multi-Step Inequalities

  • Objective: Solving Multi-Step Inequalities
  • Vocabulary:
    • inequality (p. 138)
  • Essential Question: How do I solve multi-step inequalities?
  • Guided Practice Problem
    • -3(8-4x)=12
  • Warm-Ups
  • Materials
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Packet 4 - Factors, Fractions, and Exponents

  • Warm-Ups/Bell Ringer Worksheets from Math-Aids.com
    • 1. Simplify Algebraic Expressions
    • 2. Combine Like Terms
    • 3. Translate Algebraic Expressions
    • 4. Solve Two-Step Equations
    • 5. Solve Multi-Step Equations

Lesson 4.1 - Factors and Prime Factorization

  • Objective: Write the prime factorization of a number
  • Vocabulary:
    • prime number (p. 173) is a whole number that is greater than 1 and has exactly two whole number factors, 1 and itself.
    • composite number (p. 173) is a whole number that is greater than 1 and has more than two whole number factors.
    • 1 is neither prime or composite
    • prime factorization (p. 173) when you write a number as a product of prime numbers
    • factor tree (p. 173) diagram to write the prime factorization of a number
    • monomial (p. 174) is a number, a variable, or the product of a number and one or more variables raised to whole number powers. Examples 7x, 25mn2, 24y3z2
  • Essential Question: How do I write the prime factorization of a number?
  • Guided Practice Problem
    • write all the factors of 30
    • Is 7 prime or a composite number?
    • Is 12 prime or a composite number?
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.2 - Greatest Common Factor

  • Objective: Find the Greatest Common Factor (GCF) of two or more whole numbers
  • Vocabulary:
    • common factor (p. 177)
    • greatest common factor, GCF (p. 177)
    • relatively prime (p. 178)
  • Essential Question: How do I find the GCF of two or more whole numbers?
  • Guided Practice Problem
    • GCF( 24, 60, 36) is 12
      • Method 1 - list of factors of 24, 60 and 36, then identify the greatest number common to all three numbers
      • Method 2 - write the prime factorization of each number, GCF is the product of the common prime factors
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.3 - Equivalent Fractions

  • Objective: Write equivalent fractions
  • Vocabulary:
    • equivalent fractions (p. 182)
    • simplest form (p. 183)
  • Essential Question: How do I write equivalent fractions?
  • Guided Practice Problem
    • write two fractions that are equivalent to 8/12
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.4 - Least Common Multiple

  • Objective: Find the least common multiple of two numbers
  • Vocabulary:
    • multiple (p. 187)
    • common multiple (p. 187)
    • least common multiple, LCM (p. 187)
    • least common denominator, LCD (p. 188)
  • Essential Question: How do I find the least common multiple of two numbers?
  • Guided Practice Problem
    • largest# :⇐ L.C.M. :⇐ product of #s (only occurs if they are relatively prime)
      • remember 1 :⇐ G.C.F. :⇐ smallest # (will only be 1 if the numbers are relatively prime)
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.5 - Rules of Exponents

  • Objective: Multiply and divide powers
  • Vocabulary:
    • power (p. 10)
    • exponent (p. 10)
    • base (p. 10)
  • Essential Question: How do I multiply and divide powers?
  • Guided Practice Problem
    • 1012 * 1027 = 1012+27 = 1039
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.6 - Negative and Zero Exponents

  • Objective: Work with negative and zero exponents
  • Vocabulary:
    • power (p. 10)
    • exponent (p. 10)
    • base (p. 10)
  • Essential Question: How do I work with negative and zero exponents?
  • Guided Practice Problem
    • a0 = 1
    • a-n = 1/an
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Lesson 4.7 - Scientific Notation

  • Objective: Write numbers using scientific notation
  • Vocabulary:
    • scientific notation (p. 204)
  • Essential Question: How do I write numbers using scientific notation?
  • Guided Practice Problem
    • write 3.2×107 in standard form = 32,000,000
    • Significant figures
      • just like a chain is only as strong as its weakest link, so is adding measurements. The least significant measurement will control the significant figures. For example, I have a 12“ ruler and my pacing (2 steps equals 5 feet). So I'm trying to measure the length of a football field by pacing. I pace it to be 295 feet and then just at the end, I use the ruler to measure the remaining distance from my foot to the endzone and its 2-3/8 inches (0.198 feet). Adding this gives me 295.198 feet but this implies my precision of measurement is to the thousandsth place when in reality by precision is to the nearest 5 feet.
  • Warm-Ups
  • Materials
    • Reference Textbook: Pre-Algebra by Larson, Boswell, Kanold and Stiff, Publisher McDougal Littell (pdf)
    • Reference Notetaking Guide (Chapter 4 pdf)
    • Reference Practice Workbook, Publisher McDougal Littell (pdf)
  • Activities
  1. Student will retrieve math folder from file cabinet and complete the days warm up within the class packet
  2. Teacher will answer student questions from the warm up
  3. Student will read and write vocabulary words from class packet in math notebook and look up definitions in textbook.
  4. Teacher will introduce today's lesson using the KWL Strategy: Focus on KW.
  5. K - What I Know
  6. W - What I Want to Know (see essential question)
  7. L - What I Learned (see review)
  8. Students will read and write the essential question in their math notebook.
  9. Students will complete the Guided Practice Problem to ensure everyone understands the concept.
  10. Students will watch video on today's lesson
  11. Teacher will answer student questions from video
  12. REVIEW
  13. Life Lesson - teacher and students discuss behaviors which lead to success
  14. Answer questions - 1) What did I do right? 2) How can I improve?
  15. INDEPENDENT PRACTICE: students will work on packet
  16. CLOSURE: students reflect on assignment by answering two questions: 1) What did I do right today? and 2) How can I improve?
  17. Ticket out of class: students explain what they learned and demonstrate how to solve the guided practice problem.

Equipment

  • Desktop computers with Internet connection
  • Headphones
  • 3D Printer

Pre-Algebra Online and Video Resources

Vocabulary

  • 1.1 Expressions and Variables
    • Numerical expression
    • Variable
    • Variable expression
    • Evaluate a variable expression
    • Verbal model
  • 1.2 Powers and Exponents
    • Power
    • Base
    • Exponent
    • Formula
  • 1.3 Order of Operations
    • Order of operations
    • Grouping symbols
  • 1.4 Comparing and Ordering Integers
    • Integers
    • Negative Integers
    • Positive Integers
    • Absolute Value
    • Opposites
  • 1.5 Adding Integers
    • Additive Inverse
    • Additive Inverse Property
  • 1.6 Subtracting Integers (no vocabulary)
  • 1.7 Multiplying and Dividing Integers (no vocabulary)
  • 1.8 The Coordinate Plane
    • Coordinate Plane
    • X-axis
    • Y-axis
    • Origin
    • Quadrant
    • Ordered pair
    • x-coordinate
    • y-coordinate
    • scatter plot

Math Party

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